Step-by-step explanation:
g(x) = 2x - 9
g(4) = 2* 4 - 9
= 8 - 9
= - 1
g(1) = 2 * 1 - 9
= 2 - 9
= - 7
Now
g(4) - g(1)
= - 1 - ( -7)
= - 1 + 7
= 6
Hope it will help :)
The correct answer is that a factor of f(x) is (x+1)
This is due to the zero product property, which states that if two binomials multiply to 0, then one of its factors must equal 0.
(x+1) must equal 0.
(x+1)=0
x=-1
If (x-1)=0, then x would equal 1 instead of -1 which is what the question is asking for.
In form f(x)=ax^2+bx+c
the axis of symmetry is -b/2a so
3/2=-b/2a
given
f(x)=3x^2+bx+4
a=3
b=b
-b/(2*3)=3/2
-b/6=3/2
-b=18/2
-b=9
b=-9
D is the only x-intercept out of the options listed below.
In order to find an x-intercept, you need a value that will cause the y-value to equal 0, since this is where x-intercepts exist.
Automatically, A and B do not work since the y-values in the ordered pairs do not equal 0. By definition they are not x-intercepts. Next we can try the x-values in the equation to see which gives us a 0 y-value.
C
f(x) = (x + 6)(x - 3)
f(6) = (6 + 6)(6 - 3)
f(6) = (12)(3)
f(6) = 36
Since this does not equal 0, it is not an x-intercept.
D
f(x) = (x + 6)(x - 3)
f(-6) = (-6 + 6)(-6 - 3)
f(-6) = (0)(-9)
f(-6) = 0
This shows us that D yields a 0 value for y and is thus a x-intercept.
Answer:
4,2
Step-by-step explanation: